Atkin-Lehner |
2+ 5- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
60950c |
Isogeny class |
Conductor |
60950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1235520 |
Modular degree for the optimal curve |
Δ |
105852108800000000 = 222 · 58 · 23 · 532 |
Discriminant |
Eigenvalues |
2+ 2 5- 5 1 -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-302950,62116500] |
[a1,a2,a3,a4,a6] |
Generators |
[6420:47990:27] |
Generators of the group modulo torsion |
j |
7871885851490185/270981398528 |
j-invariant |
L |
8.0376221066644 |
L(r)(E,1)/r! |
Ω |
0.33269159857987 |
Real period |
R |
2.0132815049829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60950f1 |
Quadratic twists by: 5 |